Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th March 1999
- 1Bounds3 marks
x = 176 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 15, 25, 39. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 49.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 36 wins. How many games did they play?
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